Geodesic
Free energies as invariants of Teichmüller like structures
Acta mathematica Universitatis Comenianae, Tome 82 (2013) no. 1, pp. 1-10 
A. Mesón; F. Vericat; A. Mesón; F. Vericat. Free energies as invariants of Teichmüller like structures. Acta mathematica Universitatis Comenianae, Tome 82 (2013) no. 1, pp. 1-10. http://geodesic.mathdoc.fr/item/AMUC_2013_82_1_a0/
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Voir la notice de l'article provenant de la source Comenius University

A Teichmüller like structure on the space of d-degree holomorphic maps on the circle S1, marked by conjugations to the map z ® zd, can be defined. Here we introduce a definition of free energy associated to this kind of dynamics as an invariant of equivalence classes in the Teichmüller space. This quantity encodes a length spectrum of rotation cycles in S1.